Cary is 5 5 years older than dan. in 5 years the sum of their ages will be 81. find the age of each man now.

Question

Cary is 5 5 years older than dan. in 5 years the sum of their ages will be 81. find the age of each man now.

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    0
    2021-09-15T01:21:05+00:00

    C = Cary, D = Dan
    C – 55 = D
    (C + 5) + (D + 5) = 81
    C = D + 55
    (D + 55 + 5) + (D + 5) = 81
    (D + 60) + (D + 5) = 81
    2D = 16
    D = 8
    C = 8 + 55 = 63

    Cary is 63 years old, and Dan is 8 years old

    0
    2021-09-15T01:21:27+00:00

    Let’s call x the age of Cary and y the age of Dan.

    y = x – 55
    x + 5 + y + 5 = 81

    Then,

    x + 5 + x – 55 + 5 = 81
    2x – 45 = 81
    2x = 81 + 45
    2x = 126
    x = 126/2 = 63

    Now, let’s find y.

    y = 63 – 55 = 8.

    Therefore Cary is 63 years old and Dan is 8 years old.

    Hope this helps !

    Photon

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